# Iterated differential forms III: Integral calculus

@article{Vinogradov2006IteratedDF,
title={Iterated differential forms III: Integral calculus},
author={Alexandre M. Vinogradov and Luca Vitagliano},
year={2006},
volume={75},
pages={177-180}
}
• Published 30 October 2006
• Mathematics
Basic elements of integral calculus over algebras of iterated differential forms �k, k < ∞, are presented. In particular, defining complexes for modules of integral forms are described and the corresponding berezinians and complexes of integral forms are computed. Various applications and the integral calculus over the algebra �∞ will be discussed in subsequent notes.
3 Citations
• Mathematics
• 2007
In the preceding note math.DG/0610917 the $\Lambda_{k-1}\mathcal{C}$--spectral sequence, whose first term is composed of \emph{secondary iterated differential forms}, was constructed for a generic
Since the discovery of differential calculus by Newton and Leibniz and the subsequent continuous growth of its applications to physics, mechanics, geometry, etc, it was observed that partial

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